Cooperative games under interval uncertainty: on the convexity of the interval undominated cores

Date

2011-12-01

Author

Branzei, R.
ALPARSLAN GÖK, Sırma Zeynep
Branzei, O.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

54
views

0
downloads

Uncertainty is a daily presence in the real world. It affects our decision making and may have influence on cooperation. Often uncertainty is so severe that we can only predict some upper and lower bounds for the outcome of our actions, i.e., payoffs lie in some intervals. A suitable game theoretic model to support decision making in collaborative situations with interval data is that of cooperative interval games. Solution concepts that associate with each cooperative interval game sets of interval allocations with appealing properties provide a natural way to capture the uncertainty of coalition values into the players' payoffs. This paper extends interval-type core solutions for cooperative interval games by discussing the set of undominated core solutions which consists of the interval nondominated core, the square interval dominance core, and the interval dominance core. The interval nondominated core is introduced and it is shown that it coincides with the interval core. A straightforward consequence of this result is the convexity of the interval nondominated core of any cooperative interval game. A necessary and sufficient condition for the convexity of the square interval dominance core of a cooperative interval game is also provided.

Subject Keywords

Management Science and Operations Research

URI

https://hdl.handle.net/11511/66387

Journal

CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH

DOI

https://doi.org/10.1007/s10100-010-0141-z

Collections

Graduate School of Applied Mathematics, Article

Suggestions

OpenMETU
Core

Some results on cooperative interval games ALPARSLAN GÖK, Sırma Zeynep (Informa UK Limited; 2014-01-02) Uncertainty is a daily presence in the real world. It affects our decision-making and may have influence on cooperation. On many occasions, uncertainty is so severe that we can only predict some upper and lower bounds for the outcome of our actions, i.e. payoffs lie in some intervals. A suitable game theoretic model to support decision-making in collaborative situations with interval data is that of cooperative interval games. Solution concepts that associate with each cooperative interval game sets of inte...
Rumour propagation: an operational research approach by computational and information theory Guerbuez, Burcu; Mawengkang, Herman; Husein, Ismail; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2021-01-01) Rumours are a kind of information that has a impact on social life and economies, which spread quickly and widely, especially, via internet. Recently, the spread of information affects our daily lives due to the increasing number of social media users. Rumours are defined in social areas which are delivered by gossips, fake news, marketing, social media all the way even to revolutions. In this paper, we study the dynamics of a rumour propagation model with a numerical approach. By using an algorithmic techn...
Neural network calibrated stochastic processes: forecasting financial assets Giebel, Stefan; Rainer, Martin (Springer Science and Business Media LLC, 2013-03-01) If a given dynamical process contains an inherently unpredictable component, it may be modeled as a stochastic process. Typical examples from financial markets are the dynamics of prices (e.g. prices of stocks or commodities) or fundamental rates (exchange rates etc.). The unknown future value of the corresponding stochastic process is usually estimated as the expected value under a suitable measure, which may be determined from distribution of past (historical) values. The predictive power of this estimati...
Strategic perspective of Turkish construction companies Dikmen Toker, İrem; Birgönül, Mustafa Talat (American Society of Civil Engineers (ASCE), 2003-01-01) Whether extensively planned or not, all companies have a strategic perspective which is analogous to the personality of an individual. However, a clear strategic perspective is a must to achieve strategic integration that further leads to competitive advantage. In order to define a strategic perspective, four determinants should be put together: objectives, strategies; competencies; and competitive rules. There are two way linkages among objectives, strategies, and competencies that are affected from compet...
Optimal lot-sizing/vehicle-dispatching policies under stochastic lead times and stepwise fixed costs Alp, O; Erkip, NK; Gullu, R (Institute for Operations Research and the Management Sciences (INFORMS), 2003-01-01) We characterize optimal policies of a dynamic lot-sizing/vehicle-dispatching problem under dynamic deterministic demands and stochastic lead times. An essential feature of the problem is the structure of the ordering cost, where a fixed cost is incurred every time a batch is initiated (or a vehicle is hired) regardless of the portion of the batch (or vehicle) utilized. Moreover, for every unit of demand not satisfied on time, holding and backorder costs are incurred. Under mild assumptions we show that the ...

Citation Formats

R. Branzei, S. Z. ALPARSLAN GÖK, and O. Branzei, “Cooperative games under interval uncertainty: on the convexity of the interval undominated cores,” CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, pp. 523–532, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66387.